Salut,
[tex]K = ( \sqrt{5} + 4)(3 \sqrt{3} -2) = \sqrt{5} * 3 \sqrt{3} - 2*\sqrt{5} + 4 * 3 \sqrt{3} + 4 * (-2)\\
K = 3 \sqrt{5*3} - 2\sqrt{5} + 12\sqrt{3} - 8\\
K = 3 \sqrt{15} - 2\sqrt{5} + 12\sqrt{3} - 8\\
L = (3 \sqrt{2} + 1)(3 \sqrt{15} - 1) : (a+b)(a-b) = a^{2} -b^{2} \\
L = (3 \sqrt{2})^{2} - 1^{2} \\
L = 9*2 - 1 = 18 - 1 = 17\\
M = (7 \sqrt{3} -2)( \sqrt{3} + 3) \\ M = 7 \sqrt{3} * \sqrt{3} + 3*7\sqrt{3} - 2\sqrt{3} -2*3\\ M = 7 \sqrt{3}^{2} + 21\sqrt{3} - 2\sqrt{3} - 6\\ % = 7*3 + 19\sqrt{3} - 6[/tex]
[tex]M = 15 + 19\sqrt{3}\\
[/tex]
[tex]N = ( \sqrt{11} - 1)(2 \sqrt{11}-5) \\
N = \sqrt{11} * 2 \sqrt{11} - 5\sqrt{11}- 2 \sqrt{11}+5\\
N = 2 \sqrt{11}^{2} - 7\sqrt{11}+5\\
N = 2*11 - 7\sqrt{11}+5\\
N = 27 - 7\sqrt{11}[/tex]
Exercice 47:
[tex]A = ( \sqrt{2} +1)( \sqrt{2} -1) : (a+b)(a-b) = a^{2} - b^{2} \\
A = \sqrt{2}^{2} - 1^{2} \\
A = 2 - 1\\
A = 1[/tex]
J'espère t'avoir aidé.
Bonne soirée !
